Step-by-step explanation:
The distance between two numbers in a number line is obtained by subtract the two numbers. The order of the subtraction starts with the number a bigger value followed by the number with the smaller value. For example,
x
and
y
are the two numbers and
x
≥
y
, then the correct order should be
x
−
y
.
Answer and Explanation:
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Given the numbers
7
and
−
11
on the number line, find the distance between the two numbers.
Solution:
Since
7
is...
In 1995, the cost of tuition at a large Midwestern university was $146 per credit hour. In 2001, tuition had risen to $200 per credit hour.
Determine a linear equation to represent the cost, C, of tuition as a function of x, the number of years since 1990. (Assuming the cost increases by the same amount each year.)
Linear Equation:
In the year 2008, tuition will be ($ )per credit hour.
In the year( ) , tuition will be $317 per credit hour
Answer:
72 is the correct answer
Answer:
I believe 72 is the correct answer
Step-by-step explanation:
Find the equation of the linear function represented by the table y 6 9 12 15 x 1 2 3 4
Answer: y = 3x + 3
Step-by-step explanation:
We know the linear function as following:
y = mx + b
m is the slope of the equation. b represents the y-intercept.
To find m, we divide the rate of change of y by the rate of change of x. We know that the rate of change y is +3 because we add three each time in order to find the next value. The rate of change of x is +1 because we add one each time to find the next value. So m would be:
m = 3/1
m = 3
Our linear equation is now as following:
y = 3x + b
In order to find b, we should first substitute a coordinate in the equation above.
y = 3x + b
6 = 3(1) + b
Then, we multiply 3 with 1
6 = 3 + b
Finally, we substract 3 on both sides. Now we've got our b value.
b = 3
Now our equation should look like this.
y = 3x + 3
To verify if the equation, we should substitute another coordinate, and verify if each side of the equation is equal.
y = 3x + 3
15 = 3(4) + 3
15 = 12 + 3
15 = 15
So we now know that the equation is indeed correct.
Answer:
y = 3x + 3Step-by-step explanation:
As per given table we have ordered pairs:
(1, 6), (2, 9), (3, 12), (4, 15)Find the slope and y- intercept to work out the equation.
y = mx + bThe slope:
m = (9 - 6)/(2 - 1) = 3/1 = 3The y -intercept:
6 = 3*1 + b6 = 3 + bb = 3The equation is:
y = 3x + 3The graph is attached
PLEASEE I NEEEDDD HELPPPPPP
Answer:
make a chart and it will be easy for you
[tex][ 1 1 1 -1\\ 2 0 3 1\\ 4 x 1 -1\\ 1 0 -1 2 ] = 0[/tex]
Answer:
5hg vb
Step-by-step explanation:
,hgbn
Answer:
−120314x − 11
Step-by-step explanation:
Find cos 30 in terms of cos 0
Answer:
cos(30) = (sqrt(3)/2) * cos(0)
Step-by-step explanation:
cos(0) = 1
cos(30) = sqrt(3)/2
Thus, we can write that:
cos(30) = (sqrt(3)/2) * cos(0)
lim┬(x→1)〖(1-√x)/(x^2-1)〗
Answer:
- 1/4
Step-by-step explanation:
[tex]\frac{1-\sqrt{x} }{x^{2}-1 } = \frac{(1-\sqrt{x})*(1+\sqrt{x} ) }{(x+1)(x-1)(1+\sqrt{x} )} \\= \frac{1-x}{-(1-x)(x+1)(1+\sqrt{x} )} \\= - \frac{1}{(x+1)(1+\sqrt{x} )} \\ \lim_{->1} - \frac{1}{(x+1)(1+\sqrt{x} )} \\ = -\frac{1}{(1+1)(1+\sqrt{1}) } = - 1/4[/tex]
HELP HURRY SUBTRACTION
Answer:
408, 250, and 4055 hope this helps
Mikael has a loan of $40 000.
He pays 1.6% simple interest for six months
How much interest does he pay altogether?
Step-by-step explanation:
Based on the given conditions,
[tex] formulate: 1.6\% \times 40000 \times 12 \div 12
[tex] formulate: 1.6\% \times 40000 \times 12 \div 12Reduce the fraction: \dfrac{2 \times 40000}{125}
[tex] formulate: 1.6\% \times 40000 \times 12 \div 12Reduce the fraction: \dfrac{2 \times 40000}{125}[/tex]
[tex]Reduce the fraction: 2 \times320
[tex]Reduce the fraction: 2 \times320Calculate the product orquotient: 640[tex]
Answer 640
Answer:
[tex]\sf\longmapsto \: 640[/tex]
Step-by-step explanation:
Based on given cases:
[tex] \sf \: Formulate: 1.6\% \times 40000 \times 12 \div 12[/tex]
Reduce the fraction:
[tex] \sf \longmapsto \: \dfrac{2 \times 40000}{125}[/tex]
[tex] \sf \longmapsto \: 320 \times 2[/tex]
Calculate the product/quotient:
[tex] \sf\longmapsto \: 640[/tex]
1.0286 as a fraction
Answer:
1 143 /5000
Step-by-step explanation:
help plshddjjdhdjjdjdjdh
Hi ppl of brainly. I need some help with my math assignment. explain if u can (if u can't, that's okay ) if you dont know it. please dont answer it. if u have any questions about the question, please drop in a comment!
Answer:
17.156
Step-by-step explanation:
A rational number has has a terminating decimal expansion or a decimal expansion of non-terminating repeating digits. Here, the decimal expansion is terminating, so it is a rational number.
Answer:
C. 17.156
Step-by-step explanation:
A rational number is any number that can be expressed as a fraction. So for example, since [tex]\sqrt{2}[/tex] cant be expressed as a fraction, it isn't rational. A number like 1.25 on the other hand IS rational as it can be expressed as [tex]\frac{5}{4}[/tex] or [tex]\frac{125}{100}[/tex].
Option C can be expressed as [tex]\frac{17156}{1000}[/tex], so it must be rational.
- Note that if a number has a finite amount of digits after the decimal (ie it doesn't go on forever like option B), it can be represented as a fraction and thus is rational.
HW
Example 7: While chasing the Joker, the Batmobile was traveling at 120 miles per hour. The
Joker's get-away car was traveling at 176 feet per second. Who was traveling faster, Batman or the
Joker? Explain your answer.
Answer:
this is a trick question 176 fps is equal to 120 mph
so 120=120
Jane went on a 50-minute bicycle ride. Choose the graph that best matches the given key features. Y-intercept: Jane starts at 0 miles from her house…… PLEASE HELP ILL MARK BRAINLIEST
Explanation: the correct answer is C.
Student football game tickets cost $20 Adult tickets cost $30. Write a function that shows
the total cost for s student tickets and a adult tickets.
Answer:
Here are the answers for the whole QC for CA students.
1. C
2. A
3. no
4. c
5. A
Step-by-step explanation:
Thirty percent of all telephones of a certain type are submitted for service while under warranty. Of these, 70% can be repaired, whereas the other 30% must be replaced with new units. If a company purchases ten of these telephones, what is the probability that exactly four will end up being replaced under warranty
Answer:
40%
Step-by-step explanation:
ive been stuck for so long. pls help
Answer:
B
Step-by-step explanation:
Might be C, but I hope it helps
WILL GIVE BRAINLIEST!... whats the unit rate of the equation(HAVE TO SHOW HOW YOU GOT ANSWER)
y=-4x
Answer:
-4
Step-by-step explanation:
The form of a liner equation is y=mx+b. b is 0 in this example. So we are left with y=-4x
-4 is the m, the slope. It is also called the unit rate of change. It tells us how much y changes for each 1x unit.
y x
0 0
-4 1 One unit changes y by -4 : The unit rate of change.
-8 2
PLEASE HELP WITH THIS ONE QUESTION
Answer:
11
Step-by-step explanation:
pls maerk as brainliest
x cube + 1 ÷ x squared -x+1
3x^2-24x+48 pls help me
Answer:
This polynomial is either a function like f(x), or it's just =0 and it's solved by a quadratic equation.
Step-by-step explanation:
Let's say it's equal to 0, we can easily divide the whole expression with 3, as obviously 3,24,48 have the same divisor(3), then we are left with:
x²-8x+16=0, then we apply the quadratic equation, and we got only 1 solution and that's x=4
If it is a function f(x), than it will have roots(root of a quadratic function is the x-coordinate where y=0, basically when the parabola intersects the x-axis(y=0), as we'll get that the only root is x=4
Evaluate -8x+5-2x-4+5x
Answer:
The value of the expression is - 9.
Evaluating the expression before simplifying is preferred because you only have to substitute once instead of substituting three times.
Step-by-step explanation:
x = 2
- 8x + 5 - 2x - 4 + 5x
= - 8x - 2x + 5x + 5 - 4
= - 10x + 5x + 1
= - 5x + 1
= - 5 ( 2 ) + 1
= - 10 + 1
= - 9
Scientists often write very large or very small numbers using exponents. How might a scientist write the number shown using exponents?
make it look like a seventh grader wrote it please
What’s the greatest common factor of (280, 168)
Answer:
Greatest common factor of 280 and 168 is 56
-NULL
Brainliest will be appreciated thank you!
I NEED HELP OR I WILL GET A FAT F!!! What Is 6.38 times 5.2 rounded product to the nearest whole number!!!
Answer:
33.176
Step-by-step explanation:
Which equation does NOT have like terms to collect?
Answer:
15t+9r=2
Step-by-step explanation:
the terms which are the variables are not the same on any part of the equation
What are the slope and y-intercept of the linear function?
2
-3 -2 -1.
2
оа
Oь
slope:-2: y-intercept: 2
1
slope: 2 :y-intercept: 1
Ос
1
slope: 2 :y-intercept: 2
slope: 2; y-intercept: 1
Od
What is the value of W?
951 4 1404 393
Answer:
w = 17
Step-by-step explanation:
Altitude SU of isosceles triangle RST bisects base RT. This means ...
UR = UT
5w = w+68
4w = 68 . . . . . subtract w
w = 17 . . . . . . divide by 4
4% of 50
Percent of a quantity
M
Answer:
4% of 50 is 2
Step-by-step explanation:
Show that: [tex]\sqrt[ab]{ \frac{ {x}^{a} }{ {x}^{b} } } . \sqrt[bc]{ \frac{ {x}^{b} }{ {x}^{c} } } . \sqrt[ca]{ \frac{ {x}^{c} }{ {x}^{a} } } = 1.[/tex]
Brainliest! Brainliest..ans.
Here we need to Prove that ,
[tex]\bf\implies \sqrt[ab]{ \frac{ {x}^{a} }{ {x}^{b} } } . \sqrt[bc]{ \frac{ {x}^{b} }{ {x}^{c} } } . \sqrt[ca]{ \frac{ {x}^{c} }{ {x}^{a} } } = 1.[/tex]
Lets start with LHS , which is ,
[tex]\bf\implies LHS = \sqrt[ab]{ \dfrac{ {x}^{a} }{ {x}^{b} } } . \sqrt[bc]{ \dfrac{ {x}^{b} }{ {x}^{c} } } . \sqrt[ca]{ \dfrac{ {x}^{c} }{ {x}^{a} } } [/tex]
We know that ,
[tex]\bf\implies \sqrt[n]{k^m }= k^{\frac{m}{n}}[/tex]
• So that ,
[tex]\bf\implies \sqrt[ab]{x^{a-b}} . \sqrt[bc]{x^{b-c}} .\sqrt[ac]{x^{c-a}} \\\\\bf\implies x^{\frac{a-b}{ab}} . x ^{\frac{b-c}{bc}} .x^{\frac{c-a}{ca}} \\\\\bf\implies x^{\frac{ ac - bc + ab - ac + bc - ba }{abc } }\\\\\bf\implies x^{\frac{0}{abc}} \\\\\bf\implies x^0 \\\\\bf\implies 1 = RHS [/tex]
Hence ,
[tex]\implies \boxed{\bf \red{ LHS = RHS }} [/tex]
[tex]\large\underline{\sf{Solution-}}[/tex]
Consider LHS:
[tex]\sf= \sqrt[\sf ab]{\dfrac{\sf x^{a}}{\sf x^{b}}}\cdot \sqrt[\sf bc]{\dfrac{\sf x^{b}}{\sf x^{c}}}\cdot \sqrt[\sf ac]{\dfrac{\sf x^{c}}{\sf x^{a}}}[/tex]
As we know that:
[tex]\sf\red\leadsto\dfrac{x^{a}}{x^{b}}=x^{a-b}[/tex]
We get:
[tex]\sf= \sqrt[\sf ab]{\sf x^{a-b}}\cdot \sqrt[\sf bc]{\sf x^{b-c}}\cdot \sqrt[\sf ac]{\sf x^{c-a}}[/tex]
We can also write it as:
[tex]\sf= x^{\dfrac{a-b}{ab}}\cdot x^{\dfrac{b-c}{bc}}\cdot x^{\dfrac{c-a}{ac}}[/tex]
We know that:
[tex]\sf \red\leadsto x^{a}\cdot x^{b}=x^{a+b}[/tex]
We get:
[tex]\sf= x^{\bigg(\dfrac{a-b}{ab}+\dfrac{b-c}{bc}+\dfrac{c-a}{ac}\bigg)}[/tex]
[tex]\sf= x^{\bigg(\dfrac{c(a-b)+a(b-c)+b(c-a)}{abc}\bigg)}[/tex]
[tex]\sf= x^{\bigg(\dfrac{ac-bc+ab-ac+bc-ab}{abc}\bigg)}[/tex]
[tex]\sf= x^{\bigg(\dfrac{0}{abc}\bigg)}[/tex]
[tex]\sf= x^{0}[/tex]
[tex]\sf=1[/tex]
[tex]\textsf{= RHS}\\[/tex]
Evaluate the expression 6^2-(8–4^2+7
please mark this answer as brainlist
The value of given expression is 27.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given expression is 6²-(8-4)²+7.
Here, 6²-(8-4)²+7
= 6²-(4)²+7
= 36-16+7
= 20+7
= 27
Therefore, the value of given expression is 27.
To learn more about an expression visit;
https://brainly.com/question/28170201.
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